# Infinite nuclear matter on the light front: Nucleon-nucleon correlations

## Abstract

A relativistic light-front formulation of nuclear dynamics is developed and applied to treating infinite nuclear matter in a method which includes the correlations of pairs of nucleons: this is light-front Brueckner theory. We start with a hadronic meson-baryon Lagrangian that is consistent with chiral symmetry. This is used to obtain a light-front version of a one-boson-exchange nucleon-nucleon potential (OBEP). The accuracy of our description of the nucleon-nucleon (NN) data is good, and similar to that of other relativistic OBEP models. We derive, within the light-front formalism, the Hartree-Fock and Brueckner-Hartree-Fock equations. Applying our light front OBEP, the nuclear matter saturation properties are reasonably well reproduced. We obtain a value of the compressibility 180 MeV that is smaller than that of alternative relativistic approaches to nuclear matter in which the compressibility usually comes out too large. Because the derivation starts from a meson-baryon Lagrangian, we are able to show that replacing the meson degrees of freedom by a NN interaction is a consistent approximation, and the formalism allows one to calculate corrections to this approximation in a well-organized manner. The simplicity of the vacuum in our light-front approach is an important feature in allowing the derivations to proceed. The mesonic Fockmore »

- Authors:

- (Department of Physics, Box 351560, University of Washington, Seattle, Washington 98195-1560 (United States))
- (Department of Physics, University of Idaho, Moscow, Idaho 83844 (United States))

- Publication Date:

- OSTI Identifier:
- 6464744

- Alternate Identifier(s):
- OSTI ID: 6464744

- Resource Type:
- Journal Article

- Journal Name:
- Physical Review, C

- Additional Journal Information:
- Journal Volume: 60:3; Journal ID: ISSN 0556-2813

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 73 NUCLEAR PHYSICS AND RADIATION PHYSICS; 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; CHIRAL SYMMETRY; FOCK REPRESENTATION; HARTREE-FOCK METHOD; LAGRANGIAN FIELD THEORY; LAGRANGIAN FUNCTION; NUCLEAR MATTER; NUCLEON-NUCLEON INTERACTIONS; NUCLEON-NUCLEON POTENTIAL; BARYON-BARYON INTERACTIONS; CALCULATION METHODS; FIELD THEORIES; FUNCTIONS; HADRON-HADRON INTERACTIONS; INTERACTIONS; MATTER; PARTICLE INTERACTIONS; POTENTIALS; QUANTUM FIELD THEORY; SYMMETRY 663110* -- General & Average Properties of Nuclei & Nuclear Energy Levels-- (1992-); 662340 -- Hadron Interactions-- (1992-)

### Citation Formats

```
Miller, G.A., and Machleidt, R.
```*Infinite nuclear matter on the light front: Nucleon-nucleon correlations*. United States: N. p., 1999.
Web. doi:10.1103/PhysRevC.60.035202.

```
Miller, G.A., & Machleidt, R.
```*Infinite nuclear matter on the light front: Nucleon-nucleon correlations*. United States. doi:10.1103/PhysRevC.60.035202.

```
Miller, G.A., and Machleidt, R. Wed .
"Infinite nuclear matter on the light front: Nucleon-nucleon correlations". United States. doi:10.1103/PhysRevC.60.035202.
```

```
@article{osti_6464744,
```

title = {Infinite nuclear matter on the light front: Nucleon-nucleon correlations},

author = {Miller, G.A. and Machleidt, R.},

abstractNote = {A relativistic light-front formulation of nuclear dynamics is developed and applied to treating infinite nuclear matter in a method which includes the correlations of pairs of nucleons: this is light-front Brueckner theory. We start with a hadronic meson-baryon Lagrangian that is consistent with chiral symmetry. This is used to obtain a light-front version of a one-boson-exchange nucleon-nucleon potential (OBEP). The accuracy of our description of the nucleon-nucleon (NN) data is good, and similar to that of other relativistic OBEP models. We derive, within the light-front formalism, the Hartree-Fock and Brueckner-Hartree-Fock equations. Applying our light front OBEP, the nuclear matter saturation properties are reasonably well reproduced. We obtain a value of the compressibility 180 MeV that is smaller than that of alternative relativistic approaches to nuclear matter in which the compressibility usually comes out too large. Because the derivation starts from a meson-baryon Lagrangian, we are able to show that replacing the meson degrees of freedom by a NN interaction is a consistent approximation, and the formalism allows one to calculate corrections to this approximation in a well-organized manner. The simplicity of the vacuum in our light-front approach is an important feature in allowing the derivations to proceed. The mesonic Fock space components of the nuclear wave function are obtained also, and aspects of the meson and nucleon plus-momentum distribution functions are computed. We find that there are about 0.05 excess pions per nucleon. [copyright] [ital 1999] [ital The American Physical Society]},

doi = {10.1103/PhysRevC.60.035202},

journal = {Physical Review, C},

issn = {0556-2813},

number = ,

volume = 60:3,

place = {United States},

year = {1999},

month = {9}

}